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Questions and Answers
What is the main characteristic of a nominal scale?
What is the main characteristic of a nominal scale?
- Measures rank-ordered data
- Has equidistant values
- Names the categories of data (correct)
- Depicts magnitude relationship
Which of the following best describes a nominal scale?
Which of the following best describes a nominal scale?
- Measures rank-ordered data
- Scales with equidistant values
- Depicts magnitude relationship
- Used for variables that have mutually exclusive attributes (correct)
In which scenario would a nominal scale be suitable?
In which scenario would a nominal scale be suitable?
- Classifying religious affiliations (Christian, Muslim, Jew) (correct)
- Sorting by size (small, medium, large)
- Measuring the ranking of students in a class
- Ranking in a race (1st, 2nd, 3rd)
What is the purpose of a nominal scale?
What is the purpose of a nominal scale?
Which of the following best defines a nominal scale in research?
Which of the following best defines a nominal scale in research?
When using a nominal scale, what attribute should the variables have?
When using a nominal scale, what attribute should the variables have?
Which temperature scale is given as an example of a level of measurement that has all the qualities of nominal, ordinal, and interval measures?
Which temperature scale is given as an example of a level of measurement that has all the qualities of nominal, ordinal, and interval measures?
What type of data is associated with a ratio scale?
What type of data is associated with a ratio scale?
Which scale has categorization, magnitude relationship, equal intervals, and an absolute zero point?
Which scale has categorization, magnitude relationship, equal intervals, and an absolute zero point?
What do binary scales consist of?
What do binary scales consist of?
What type of data is measured using a Likert scale?
What type of data is measured using a Likert scale?
Which temperature scale is specifically mentioned in the text for illustrating equal intervals between points?
Which temperature scale is specifically mentioned in the text for illustrating equal intervals between points?
Which type of data is measured on a nominal scale?
Which type of data is measured on a nominal scale?
What is a characteristic of data measured on a nominal scale?
What is a characteristic of data measured on a nominal scale?
In terms of measurement scale notation, what does 'X5' represent?
In terms of measurement scale notation, what does 'X5' represent?
Which graphical display is suitable for representing nominal scale data?
Which graphical display is suitable for representing nominal scale data?
What is the appropriate measure of central tendency for nominal scale data?
What is the appropriate measure of central tendency for nominal scale data?
When dealing with nominal data, what principle ensures that each observation belongs to only one category?
When dealing with nominal data, what principle ensures that each observation belongs to only one category?
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Study Notes
Scales of Measurement
- There are four scales of measurement: nominal, ordinal, interval, and ratio.
Nominal/Categorical Scale
- Names categories of data, e.g. color frequency: black, brown, white
- Used for variables with mutually exclusive attributes
- Examples: religious affiliation, classification of environments
Ordinal Scales
- Measure rank-ordered data, e.g. ranking of students in a class
- Names categories of data and has a magnitude relationship (less than or greater than) between categories
- Does not show how much difference between categories, e.g. A, B, C
- Examples: sorting by size (small, medium, large), socioeconomic status (low, medium, high)
Interval Scale
- Measures values that are rank-ordered and equidistant between adjacent attributes
- Examples: temperature scale (Celsius or Fahrenheit), where the difference between 30 and 40°C is the same as between 80 and 90°C
- Has no absolute zero point
Ratio Scale
- Has all the qualities of nominal, ordinal, and interval measures
- Has an absolute zero point, where zero has a meaning
- Examples: distance, height, money
- Can be discrete (counting) or continuous (unit of measurement)
Binary Scales
- Nominal scales with binary items that assume one of two possible values, e.g. yes or no, true or false
Notation
- Symbols are used to represent variables, constants, operations, and relationships
- Examples: + for addition, = for equality, X for a variable with subscript, e.g. X5 for the score of person 5
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